Find the discriminant. 9s^2 + s + 6 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation in the form ax^2 + bx + c = 0. For the equation 9s^2 + s + 6 = 0, we have: a = 9 b = 1 c = 6Calculate discriminant formula: Use the discriminant formula D = b^2 - 4ac to calculate the discriminant of the quadratic equation. Substitute the identified values into the formula: D = (1)^2 - 4 * 9 * 6Substitute values and calculate: Perform the calculation to find the value of the discriminant. D = 1 - 4 * 9 * 6 D = 1 - 36 * 6 D = 1 - 216Final value of discriminant: Complete the calculation to get the final value of the discriminant. D = 1 - 216 D = -215

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the discriminant. $\newline$ $9s^2 + s + 6 = 0$

View step-by-step help

Home

Math Problems

Algebra 1

Using the discriminant

Full solution

Q. Find the discriminant.

\newline

9s^2 + s + 6 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation in the form $ax^2 + bx + c = 0$ . For the equation $9s^2 + s + 6 = 0$ , we have: $a = 9$ $b = 1$ $c = 6$
Calculate discriminant formula: Use the discriminant formula $D = b^2 - 4ac$ to calculate the discriminant of the quadratic equation. $\newline$ Substitute the identified values into the formula: $\newline$ $D = (1)^2 - 4 \times 9 \times 6$
Substitute values and calculate: Perform the calculation to find the value of the discriminant. $\newline$ $D = 1 - 4 \times 9 \times 6$ $\newline$ $D = 1 - 36 \times 6$ $\newline$ $D = 1 - 216$
Final value of discriminant: Complete the calculation to get the final value of the discriminant. $\newline$ $D = 1 - 216$ $\newline$ $D = -215$